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120,040

120,040 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

120,040 (one hundred twenty thousand forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,001. Its proper divisors sum to 150,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4E8.

Abundant Number Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
40,021
Recamán's sequence
a(240,016) = 120,040
Square (n²)
14,409,601,600
Cube (n³)
1,729,728,576,064,000
Divisor count
16
σ(n) — sum of divisors
270,180
φ(n) — Euler's totient
48,000
Sum of prime factors
3,012

Primality

Prime factorization: 2 3 × 5 × 3001

Nearest primes: 120,017 (−23) · 120,041 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3001 · 6002 · 12004 · 15005 · 24008 · 30010 · 60020 (half) · 120040
Aliquot sum (sum of proper divisors): 150,140
Factor pairs (a × b = 120,040)
1 × 120040
2 × 60020
4 × 30010
5 × 24008
8 × 15005
10 × 12004
20 × 6002
40 × 3001
First multiples
120,040 · 240,080 (double) · 360,120 · 480,160 · 600,200 · 720,240 · 840,280 · 960,320 · 1,080,360 · 1,200,400

Sums & aliquot sequence

As a sum of two squares: 18² + 346² = 222² + 266²
As consecutive integers: 24,006 + 24,007 + 24,008 + 24,009 + 24,010 7,495 + 7,496 + … + 7,510 1,461 + 1,462 + … + 1,540
Aliquot sequence: 120,040 150,140 165,196 123,904 148,347 70,677 31,425 20,655 18,657 9,023 1,297 1 0 — terminates at zero

Continued fraction of √n

√120,040 = [346; (2, 7, 3, 2, 45, 1, 3, 4, 19, 76, 1, 15, 1, 10, 1, 1, 1, 1, 4, 1, 1, 8, 173, 8, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand forty
Ordinal
120040th
Binary
11101010011101000
Octal
352350
Hexadecimal
0x1D4E8
Base64
AdTo
One's complement
4,294,847,255 (32-bit)
Scientific notation
1.2004 × 10⁵
As a duration
120,040 s = 1 day, 9 hours, 20 minutes, 40 seconds
In other bases
ternary (3) 20002122221
quaternary (4) 131103220
quinary (5) 12320130
senary (6) 2323424
septenary (7) 1006654
nonary (9) 202587
undecimal (11) 82208
duodecimal (12) 59574
tridecimal (13) 4283b
tetradecimal (14) 31a64
pentadecimal (15) 2587a

As an angle

120,040° = 333 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκμʹ
Mayan (base 20)
𝋯·𝋠·𝋢·𝋠
Chinese
一十二萬零四十
Chinese (financial)
壹拾貳萬零肆拾
In other modern scripts
Eastern Arabic ١٢٠٠٤٠ Devanagari १२००४० Bengali ১২০০৪০ Tamil ௧௨௦௦௪௦ Thai ๑๒๐๐๔๐ Tibetan ༡༢༠༠༤༠ Khmer ១២០០៤០ Lao ໑໒໐໐໔໐ Burmese ၁၂၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120040, here are decompositions:

  • 23 + 120017 = 120040
  • 29 + 120011 = 120040
  • 47 + 119993 = 120040
  • 59 + 119981 = 120040
  • 149 + 119891 = 120040
  • 191 + 119849 = 120040
  • 227 + 119813 = 120040
  • 257 + 119783 = 120040

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓨
Mathematical Bold Script Capital Y
U+1D4E8
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 A8 (4 bytes).

Hex color
#01D4E8
RGB(1, 212, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.232.

Address
0.1.212.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.232

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 120,040 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading